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Finding the Fourth Proportional to 470,752.09, 649,950.68 and 361,662.10

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Solution

The fourth proportional to 470,752.09, 649,950.68 and 361,662.10 is: 499,334.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,752.09 : 649,950.68 = 361,662.10 : x
  2. Step 2: Convert to fraction form
    470,752.09/649,950.68 = 361,662.10/x
  3. Step 3: Cross multiply
    470,752.09x = 649,950.68 × 361,662.10
  4. Step 4: Simplify right side
    470,752.09x = 235,062,524,392.04
  5. Step 5: Solve for x
    x = 235,062,524,392.04/470,752.09
  6. Step 6: Final answer
    x = 499,334.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.